Prof. Dr. Robert Vrabel
Slovak University of Technology in Bratislava, Bratislava, Bratislavský, Slovakia
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Academic Career Length
57Years (1970-Present)
(Calculated once Scilit publication data is synced: current year − year of first publication + 1)
Representative Publications
View All Publications1 January 2015 in Journal of Mathematical Analysis and Applications
Journal Article
Robert Vrabel10 July 2019 in IEEE Transactions on Automatic Control
Journal Article
Robert VrabelIn this paper we derive new criterion for uniform stability assessment of the linear periodic time-varying systems $\dot{x} = A(t)x,\ A(t + T) = A(t)$ . As a corollary, the lower and upper bounds for the Floquet characteristic exponents are established. The approach is based on the use of logarithmic norm of the system matrix $A(t)$ . Finally we analyze the robustness of the stability property under external disturbance.
1 August 2016 in Journal of Mathematical Analysis and Applications
Journal Article
Robert Vrabel11 January 2021 in International Journal of General Systems
Journal Article
Robert VrabelIn this paper, we establish a new criterion for robustness of global asymptotic stability of zero solution of LTV system in the presence of external perturbations (disturbances). To prove the result, logarithmic norm will be used under which the stability becomes a topological notion depending on the chosen vector norm in the state-space
14 August 2017 in International Journal of Control
Journal Article
Robert VrabelIn this paper, we consider the problem of stabilisation and tracking of desired state trajectory for a wide range of nonlinear control problems with disturbances. We present the sufficient conditions for the existence of Ck state-feedback controllers and the process of their mathematical designing is described.
About Me
Robert Vrabel was born in Rimavska Sobota, Slovakia in 1967. He received a master's degree in applied mathematical analysis in 1990 and his Ph.D. in 1998 at the Slovak Academy of Sciences. At present, he is Professor with the Institute of Applied Informatics, Automation and Mechatronics at the Faculty of Materials Science and Technology in Trnava, Slovak University of Technology in Bratislava, Slovakia. His current research interests include control of linear and nonlinear systems, modelling and simulation of mechanical systems and qualitative theory of ordinary differential equations.